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Finding the Fourth Proportional to 520,893.51, 781,332.17 and 165,904.53

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Solution

The fourth proportional to 520,893.51, 781,332.17 and 165,904.53 is: 248,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,893.51 : 781,332.17 = 165,904.53 : x
  2. Step 2: Convert to fraction form
    520,893.51/781,332.17 = 165,904.53/x
  3. Step 3: Cross multiply
    520,893.51x = 781,332.17 × 165,904.53
  4. Step 4: Simplify right side
    520,893.51x = 129,626,545,608.21
  5. Step 5: Solve for x
    x = 129,626,545,608.21/520,893.51
  6. Step 6: Final answer
    x = 248,854.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.